Mathematical discoveries from program search with large language models

B Romera-Paredes, M Barekatain, A Novikov, M Balog… - Nature, 2024 - nature.com
Large language models (LLMs) have demonstrated tremendous capabilities in solving
complex tasks, from quantitative reasoning to understanding natural language. However …

Online knapsack with frequency predictions

S Im, R Kumar, M Montazer Qaem… - Advances in neural …, 2021 - proceedings.neurips.cc
There has been recent interest in using machine-learned predictions to improve the worst-
case guarantees of online algorithms. In this paper we continue this line of work by studying …

Non-clairvoyant scheduling with predictions

S Im, R Kumar, MM Qaem, M Purohit - ACM Transactions on Parallel …, 2023 - dl.acm.org
In the single-machine non-clairvoyant scheduling problem, the goal is to minimize the total
completion time of jobs whose processing times are unknown a priori. We revisit this well …

Online computation with untrusted advice

S Angelopoulos, C Dürr, S Jin, S Kamali… - arXiv preprint arXiv …, 2019 - arxiv.org
The advice model of online computation captures the setting in which the online algorithm is
given some information concerning the request sequence. This paradigm allows to establish …

Learning-augmented weighted paging

N Bansal, C Coester, R Kumar, M Purohit, E Vee - Proceedings of the 2022 …, 2022 - SIAM
We consider a natural semi-online model for weighted paging, where at any time the
algorithm is given predictions, possibly with errors, about the next arrival of each page. The …

[HTML][HTML] A pattern-based algorithm with fuzzy logic bin selector for online bin packing problem

B Lin, J Li, T Cui, H Jin, R Bai, R Qu… - Expert Systems with …, 2024 - Elsevier
The online bin packing problem is a well-known optimization challenge that finds application
in a wide range of real-world scenarios. In the paper, we propose a novel algorithm called …

Applied online algorithms with heterogeneous predictors

J Maghakian, R Lee, M Hajiesmaili… - International …, 2023 - proceedings.mlr.press
For many application domains, the integration of machine learning (ML) models into
decision making is hindered by the poor explainability and theoretical guarantees of black …

Dynamic Bin Packing with Predictions

M Liu, X Tang - Proceedings of the ACM on Measurement and Analysis …, 2022 - dl.acm.org
The MinUsageTime Dynamic Bin Packing (DBP) problem aims to minimize the accumulated
bin usage time for packing a sequence of items into bins. It is often used to model job …

Online interval scheduling with predictions

J Boyar, LM Favrholdt, S Kamali, KS Larsen - Algorithms and Data …, 2023 - Springer
In online interval scheduling, the input is an online sequence of intervals, and the goal is to
accept a maximum number of non-overlapping intervals. In the more general disjoint path …

Online unit profit knapsack with untrusted predictions

J Boyar, LM Favrholdt, KS Larsen - arXiv preprint arXiv:2203.00285, 2022 - arxiv.org
A variant of the online knapsack problem is considered in the settings of trusted and
untrusted predictions. In Unit Profit Knapsack, the items have unit profit, and it is easy to find …